用音乐结构解析物质层次,让振动成为科学发现的听觉探针。
Selective Imperfection as a Generative Framework for Analysis, Creativity and Discovery
- 将分子振动与音乐层级映射,实现跨尺度结构转换。
- 2^12种音阶中,文化重要系统集中在中熵、中缺陷区,类比材料强度最优态。
- 通过人创与物理约束碰撞,生成兼具创新性与结构性的新内容。
我们提出 materiomusic 作为连接物质层次结构与音乐构成逻辑的生成框架。在蛋白质、蜘蛛网和火焰动力学中,振动与构型原理反复表现为音高层级、和声进行及长程音乐形式。通过可逆映射——从分子光谱到乐音,从三维网络到可演奏乐器——我们展示声音如何成为科学探针,实现认知反转:聆听即观察,作曲即造物蓝图。这些映射揭示深层时间:源于飞秒级分子振动或数十亿年演化历史的模式变得可听。我们主张,科学与艺术中的新颖性产生于现有自由度无法满足约束时,迫使可行配置空间扩张。选择性缺陷提供了恢复连贯性与适应性平衡的机制。定量支持来自对全部 2^12 种音乐音阶的穷举枚举,显示文化上重要的系统聚集于中熵、中缺陷区间,直接对应霍尔-佩奇最优区(中间缺陷密度使材料强度最大)。迭代此类映射促成人类创造力与物理规律的创造性碰撞,生成新信息。我们证明,基于群集的AI模型能创作出具备类人结构特征(如小世界连接、模块整合、长程相干)的音乐,暗示超越插值的发明路径。科学与艺术是受约束的世界构建行为,振动是跨越尺度组织结构的共享语法。
原文摘要 · Abstract (English)
We introduce materiomusic as a generative framework linking the hierarchical structures of matter with the compositional logic of music. Across proteins, spider webs and flame dynamics, vibrational and architectural principles recur as tonal hierarchies, harmonic progressions, and long-range musical form. Using reversible mappings, from molecular spectra to musical tones and from three-dimensional networks to playable instruments, we show how sound functions as a scientific probe, an epistemic inversion where listening becomes a mode of seeing and musical composition becomes a blueprint for matter. These mappings excavate deep time: patterns originating in femtosecond molecular vibrations or billion-year evolutionary histories become audible. We posit that novelty in science and art emerges when constraints cannot be satisfied within existing degrees of freedom, forcing expansion of the space of viable configurations. Selective imperfection provides the mechanism restoring balance between coherence and adaptability. Quantitative support comes from exhaustive enumeration of all 2^12 musical scales, revealing that culturally significant systems cluster in a mid-entropy, mid-defect corridor, directly paralleling the Hall-Petch optimum where intermediate defect densities maximize material strength. Iterating these mappings creates productive collisions between human creativity and physics, generating new information as musical structures encounter evolutionary constraints. We show how swarm-based AI models compose music exhibiting human-like structural signatures such as small-world connectivity, modular integration, long-range coherence, suggesting a route beyond interpolation toward invention. We show that science and art are generative acts of world-building under constraint, with vibration as a shared grammar organizing structure across scales.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。